Item #:
7605056
Differential Dynamical Systems, Revised Edition
89% of respondents would recommend this to a friend
Item #:
7605056
TMT 427
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This book combines traditional ordinary differential equations with modern dynamical systems theory, perfect for students in mathematics and engineering.
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What Stands Out
Comprehensive Coverage
Offers an in-depth exploration of differential dynamical systems, incorporating both theoretical and practical aspects to enhance understanding and application in various scientific fields.
Updated Edition
This revised edition includes new research findings, examples, and updated methodologies, ensuring readers are equipped with the latest knowledge in the fast-evolving study of dynamical systems.
Practical Applications
Focuses on real-world applications of differential dynamical systems, making it ideal for students and professionals seeking to apply theoretical concepts to practical engineering and physical problems.
Product Details
- Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.Differential Dynamical Systems, Revised Edition begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts - flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. Revisions include simplified and clarified proofs of a number of theorems, an expanded introduction to function spaces, additional exercises, and the correction of typographical errors. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple, Mathematica, and MATLAB software to give students practice with computation applied to dynamical systems problems.Audience: This textbook is intended for senior undergraduates and first-year graduate students in pure and applied mathematics, engineering, and the physical sciences. Readers should be comfortable with elementary differential equations and linear algebra and should have had exposure to advanced calculus.Contents: List of Figures; Preface; Acknowledgments; Chapter 1: Introduction; Chapter 2: Linear Systems; Chapter 3: Existence and Uniqueness; Chapter 4: Dynamical Systems; Chapter 5: Invariant Manifolds; Chapter 6: The Phase Plane; Chapter 7: Chaotic Dynamics; Chapter 8: Bifurcation Theory; Chapter 9: Hamiltonian Dynamics; Appendix: Mathematical Software; Bibliography; Index
| Publisher | SIAM-Society for Industrial and Applied Mathematics |
| Publication date | January 24, 2017 |
| Edition | Revised Edition |
| Language | English |
| Print length | 410 pages |
| ISBN-10 | 1611974631 |
| ISBN-13 | 978-1611974638 |
| Item Weight | 1.94 pounds (880 grams) |
| Dimensions | 7.2 x 1.06 x 10.35 inches (18.3 x 2.7 x 26.3 cm) |
Who Should Buy?
-
Mathematics Students
Ideal for graduate students studying applied mathematics or differential equations, providing in-depth theoretical knowledge.
-
Researchers
Beneficial for those conducting research in dynamical systems, offering advanced concepts and methodologies.
-
Engineers
Useful for engineers needing to model and analyze systems, particularly in control and robotics applications.
-
Beginners
Not suitable for beginners in mathematics, as it assumes background knowledge in advanced concepts.
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Editorial Review
Differential Dynamical Systems, Revised Edition is a comprehensive text published by SIAM-Society for Industrial and Applied Mathematics, offering in-depth insights into the field. With 410 pages of thorough content, this revised edition updates critical information essential for both students and professionals in applied mathematics. The publication date of January 24, 2017, adds to its relevance, ensuring that the latest developments in dynamical systems are covered. This edition serves not just as a textbook but also as a valuable resource for researchers. Readers have noted the clarity and depth of explanation, making complex topics more accessible. Overall, it serves as a crucial tool in understanding differential systems.
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Pros
- Comprehensive coverage of dynamical systems
- Clear explanations enhance understanding
- Revised edition includes updated information
- Well-suited for both students and professionals
- High-quality publication by SIAM
Cons
- Might be challenging for beginners without prior knowledge
Product Price History
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TMT 427
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Features & Benefits
- Comprehensive coverage of differential equations and dynamical systems.
- Application examples in physics, biology, chemistry, and engineering.
- Includes linear systems and nonlinear differential equations.
- Enhancements like simplified proofs and additional exercises.
- Appendix with coding examples for practical application.
- Ideal for senior undergraduates and first-year graduate students.
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